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34135072457 = 213732034987
BaseRepresentation
bin11111110010100110…
…111101111011001001
310021002221011100101212
4133302212331323021
51024402034304312
623403105022505
72315620220453
oct376246757311
9107087140355
1034135072457
11135273a4192
126747924a35
1332acc8a035
14191b6bd2d3
15d4bb80822
hex7f29bdec9

34135072457 has 8 divisors (see below), whose sum is σ = 34168558176. Its totient is φ = 34101607392.

The previous prime is 34135072453. The next prime is 34135072471. The reversal of 34135072457 is 75427053143.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34135072457 - 22 = 34135072453 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34135072453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6842318 + ... + 6847304.

It is an arithmetic number, because the mean of its divisors is an integer number (4271069772).

Almost surely, 234135072457 is an apocalyptic number.

It is an amenable number.

34135072457 is a deficient number, since it is larger than the sum of its proper divisors (33485719).

34135072457 is a wasteful number, since it uses less digits than its factorization.

34135072457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10327.

The product of its (nonzero) digits is 352800, while the sum is 41.

The spelling of 34135072457 in words is "thirty-four billion, one hundred thirty-five million, seventy-two thousand, four hundred fifty-seven".

Divisors: 1 2137 3203 4987 6844811 10657219 15973361 34135072457